{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "<small>\n",
    "Copyright (c) 2017 Andrew Glassner\n",
    "\n",
    "Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the \"Software\"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:\n",
    "\n",
    "The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.\n",
    "\n",
    "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.\n",
    "</small>\n",
    "\n",
    "\n",
    "\n",
    "# Deep Learning From Basics to Practice\n",
    "## by Andrew Glassner, https://dlbasics.com, http://glassner.com\n",
    "------\n",
    "## Chapter 12: Data Preparation\n",
    "### Notebook 1: Showing normalizations, PCA, etc.\n",
    "\n",
    "This notebook is provided as a “behind-the-scenes” look at code used to make some of the figures in this chapter. It is still in the hacked-together form used to develop the figures, and is only lightly commented."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "# Make a File_Helper for saving and loading files.\n",
    "\n",
    "save_files = True\n",
    "\n",
    "import os, sys, inspect\n",
    "current_dir = os.path.dirname(os.path.abspath(inspect.getfile(inspect.currentframe())))\n",
    "sys.path.insert(0, os.path.dirname(current_dir)) # path to parent dir\n",
    "from DLBasics_Utilities import File_Helper\n",
    "file_helper = File_Helper(save_files)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# The following cells are intended to be executed\n",
    "# serially, since they build new data as they go\n",
    "# based on previous data held in global variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Points for the electric guitar dataset\n",
    "\n",
    "points_list = np.array([\n",
    "[ 0.14343707, 0.8876861 ], [ 0.086603515, 0.84032476 ], [ 0.1014885, 0.9093369 ],\n",
    "[ 0.21244925, 0.77943164 ], [ 0.2503383, 0.91745603 ], [ 0.24763194, 0.8362652 ],\n",
    "[ 0.21244925, 0.87280107 ], [ 0.13396482, 0.84573746 ], [ 0.16508795, 0.95805144 ],\n",
    "[ 0.17185386, 0.9066306 ], [ 0.1217862, 0.93098783 ], [ 0.07577808, 0.94316643 ],\n",
    "[ 0.054127198, 0.8958051 ], [ 0.24763194, 0.744249 ], [ 0.26928282, 0.76860625 ],\n",
    "[ 0.29499322, 0.80784845 ], [ 0.25845736, 0.79566985 ], [ 0.20838971, 0.8362652 ],\n",
    "[ 0.27198917, 0.8579161 ], [ 0.30175912, 0.84573746 ], [ 0.3044655, 0.8755074 ],\n",
    "[ 0.27604872, 0.8849797 ], [ 0.27469555, 0.9201624 ], [ 0.21650879, 0.9188092 ],\n",
    "[ 0.21921515, 0.95128554 ], [ 0.25169146, 0.94993234 ], [ 0.07848444, 0.864682 ],\n",
    "[ 0.18132612, 0.83491206 ], [ 0.1894452, 0.8890392 ], [ 0.1894452, 0.9729364 ],\n",
    "[ 0.15155616, 0.93775374 ], [ 0.09336942, 0.96346414 ], [ 0.12990528, 0.96481735 ],\n",
    "[ 0.113667116, 0.8849797 ], [ 0.09336942, 0.93098783 ], [ 0.046008117, 0.9255751 ],\n",
    "[ 0.031123139, 0.87415427 ], [ 0.03924222, 0.8254398 ], [ 0.0608931, 0.8173207 ],\n",
    "[ 0.086603515, 0.78890395 ], [ 0.119079836, 0.78213805 ], [ 0.15832205, 0.80108255 ],\n",
    "[ 0.17185386, 0.7699594 ], [ 0.23139377, 0.76184034 ], [ 0.22868742, 0.8037889 ],\n",
    "[ 0.23139377, 0.85926926 ], [ 0.27198917, 0.8294993 ], [ 0.24221921, 0.8903924 ],\n",
    "[ 0.19485791, 0.932341 ], [ 0.135318, 0.9079838 ], [ 0.113667116, 0.8579161 ],\n",
    "[ 0.05277402, 0.84709066 ], [ 0.09607578, 0.8186739 ], [ 0.07713126, 0.8958051 ],\n",
    "[ 0.16102841, 0.86738837 ], [ 0.19350474, 0.80108255 ], [ 0.13937753, 0.8159675 ],\n",
    "[ 0.062246278, 0.78078485 ], [ 0.0879567, 0.7523681 ], [ 0.1217862, 0.75372124 ],\n",
    "[ 0.24086604, 0.6738836 ], [ 0.25169146, 0.6414073 ], [ 0.21380244, 0.7198917 ],\n",
    "[ 0.22868742, 0.744249 ], [ 0.19891746, 0.74830854 ], [ 0.18673883, 0.7239513 ],\n",
    "[ 0.16508795, 0.729364 ], [ 0.124492556, 0.7185386 ], [ 0.1488498, 0.744249 ],\n",
    "[ 0.10554804, 0.7388363 ], [ 0.108254395, 0.7023004 ], [ 0.15155616, 0.7036536 ],\n",
    "[ 0.19350474, 0.6955345 ], [ 0.22868742, 0.6941813 ], [ 0.2300406, 0.65223277 ],\n",
    "[ 0.20974289, 0.6752368 ], [ 0.19756427, 0.6481732 ], [ 0.1894452, 0.6738836 ],\n",
    "[ 0.15696888, 0.6738836 ], [ 0.135318, 0.6752368 ], [ 0.16779432, 0.64952636 ],\n",
    "[ 0.13802436, 0.65629226 ], [ 0.10554804, 0.6752368 ], [ 0.10554804, 0.64952636 ],\n",
    "[ 0.08389716, 0.65629226 ], [ 0.07171854, 0.63734776 ], [ 0.0879567, 0.6265223 ],\n",
    "[ 0.1217862, 0.6332882 ], [ 0.16102841, 0.6332882 ], [ 0.18673883, 0.62516916 ],\n",
    "[ 0.16914749, 0.61163735 ], [ 0.16102841, 0.58998644 ], [ 0.14073072, 0.60622466 ],\n",
    "[ 0.11096076, 0.6075778 ], [ 0.13396482, 0.5872801 ], [ 0.10013532, 0.58998644 ],\n",
    "[ 0.07577808, 0.60487145 ], [ 0.15155616, 0.57239515 ], [ 0.16644114, 0.5615697 ],\n",
    "[ 0.15832205, 0.53721243 ], [ 0.15696888, 0.511502 ], [ 0.16238159, 0.48173207 ],\n",
    "[ 0.1556157, 0.47090665 ], [ 0.16102841, 0.44384304 ], [ 0.15290934, 0.4316644 ],\n",
    "[ 0.15967524, 0.40324762 ], [ 0.15832205, 0.37077132 ], [ 0.15426251, 0.35453317 ],\n",
    "[ 0.15967524, 0.3301759 ], [ 0.15696888, 0.2976996 ], [ 0.15696888, 0.26792964 ],\n",
    "[ 0.16238159, 0.23951286 ], [ 0.15832205, 0.21380244 ], [ 0.15832205, 0.1826793 ],\n",
    "[ 0.16238159, 0.14479026 ], [ 0.15155616, 0.119079836 ], [ 0.1759134, 0.1150203 ],\n",
    "[ 0.15696888, 0.097428955 ], [ 0.17861976, 0.08930988 ], [ 0.17050068, 0.066305816 ],\n",
    "[ 0.15426251, 0.07713126 ], [ 0.1556157, 0.05006766 ], [ 0.17726658, 0.05006766 ],\n",
    "[ 0.17320703, 0.03247632 ], [ 0.15426251, 0.028416779 ], [ 0.17861976, 0.5223275 ],\n",
    "[ 0.18132612, 0.4993234 ], [ 0.17861976, 0.47225982 ], [ 0.17861976, 0.44384304 ],\n",
    "[ 0.17861976, 0.4127199 ], [ 0.17726658, 0.39106902 ], [ 0.1759134, 0.3653586 ],\n",
    "[ 0.17456022, 0.33423546 ], [ 0.1759134, 0.30040595 ], [ 0.17456022, 0.27334234 ],\n",
    "[ 0.17726658, 0.25304466 ], [ 0.17456022, 0.22192152 ], [ 0.17456022, 0.19485791 ],\n",
    "[ 0.17185386, 0.1759134 ], [ 0.1759134, 0.1556157 ], [ 0.135318, 0.53315294 ],\n",
    "[ 0.13802436, 0.5142084 ], [ 0.13802436, 0.4871448 ], [ 0.13802436, 0.46414074 ],\n",
    "[ 0.13667117, 0.43572396 ], [ 0.13667117, 0.41001353 ], [ 0.13937753, 0.38159674 ],\n",
    "[ 0.13937753, 0.36129904 ], [ 0.13802436, 0.32611638 ], [ 0.1420839, 0.29364005 ],\n",
    "[ 0.14073072, 0.2638701 ], [ 0.14073072, 0.2368065 ], [ 0.14343707, 0.21786198 ],\n",
    "[ 0.14343707, 0.1894452 ], [ 0.14479026, 0.1556157 ], [ 0.14479026, 0.13802436 ],\n",
    "[ 0.1826793, 0.13396482 ], [ 0.19215156, 0.11772666 ], [ 0.135318, 0.123139374 ],\n",
    "[ 0.19079837, 0.0879567 ], [ 0.13125846, 0.0947226 ], [ 0.19485791, 0.056833558 ],\n",
    "[ 0.135318, 0.05818674 ], [ 0.20027064, 0.01894452 ], [ 0.18673883, 0.013531799 ],\n",
    "[ 0.17050068, 0.00947226 ], [ 0.15155616, 0.013531799 ], [ 0.13396482, 0.014884979 ],\n",
    "[ 0.13396482, 0.028416779 ], [ 0.21244925, 0.102841675 ], [ 0.1962111, 0.102841675 ],\n",
    "[ 0.21515562, 0.07307172 ], [ 0.19891746, 0.0744249 ], [ 0.21650879, 0.040595397 ],\n",
    "[ 0.20162381, 0.040595397 ], [ 0.13261163, 0.04194858 ], [ 0.113667116, 0.043301757 ],\n",
    "[ 0.13125846, 0.07848444 ], [ 0.113667116, 0.07713126 ], [ 0.1285521, 0.108254395 ],\n",
    "[ 0.11231394, 0.108254395 ], [ 0.3044655, 0.7767253 ], [ 0.2909337, 0.759134 ],\n",
    "[ 0.27604872, 0.74154264 ], [ 0.25981057, 0.7239513 ], [ 0.2571042, 0.699594 ],\n",
    "[ 0.25981057, 0.67658997 ], [ 0.270636, 0.65223277 ], [ 0.2774019, 0.6278755 ],\n",
    "[ 0.2774019, 0.608931 ], [ 0.26251692, 0.60622466 ], [ 0.24898511, 0.6197564 ],\n",
    "[ 0.22598106, 0.62381595 ], [ 0.20838971, 0.61705005 ], [ 0.19485791, 0.59810555 ],\n",
    "[ 0.18809202, 0.57645464 ], [ 0.18673883, 0.5534506 ], [ 0.3112314, 0.7983762 ],\n",
    "[ 0.32205683, 0.8227334 ], [ 0.32746956, 0.849797 ], [ 0.32476318, 0.8782138 ],\n",
    "[ 0.31393775, 0.9079838 ], [ 0.30175912, 0.93098783 ], [ 0.28552097, 0.95534503 ],\n",
    "[ 0.26251692, 0.9729364 ], [ 0.23815967, 0.98240864 ], [ 0.21380244, 0.9864682 ],\n",
    "[ 0.19215156, 0.9918809 ], [ 0.16373478, 0.9945873 ], [ 0.13802436, 0.9918809 ],\n",
    "[ 0.11231394, 0.9864682 ], [ 0.086603515, 0.97699594 ], [ 0.0608931, 0.9661705 ],\n",
    "[ 0.04194858, 0.94993234 ], [ 0.027063599, 0.93640053 ], [ 0.01623816, 0.9147497 ],\n",
    "[ 0.00947226, 0.8930988 ], [ 0.0067658997, 0.86738837 ], [ 0.0067658997, 0.8376184 ],\n",
    "[ 0.01759134, 0.8105548 ], [ 0.029769959, 0.7848444 ], [ 0.0473613, 0.7631935 ],\n",
    "[ 0.062246278, 0.7428958 ], [ 0.07307172, 0.7253045 ], [ 0.0744249, 0.6968877 ],\n",
    "[ 0.06901218, 0.6738836 ], [ 0.05548038, 0.64546686 ], [ 0.048714478, 0.62516916 ],\n",
    "[ 0.05818674, 0.59675235 ], [ 0.081190795, 0.5751015 ], [ 0.1014885, 0.56427604 ],\n",
    "[ 0.13125846, 0.5602165 ],\n",
    "])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def rotate_points(pts, theta):\n",
    "    p2 = pts.copy()\n",
    "    for i in range(pts.shape[0]):\n",
    "        xrot = (pts[i][0]*math.cos(theta)) + (pts[i][1]*math.sin(theta)) \n",
    "        yrot = (-pts[i][0]*math.sin(theta)) + (pts[i][1]*math.cos(theta)) \n",
    "        p2[i][0] = xrot\n",
    "        p2[i][1] = yrot\n",
    "    return p2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def setup_plot(pts):\n",
    "    pmin = 1.2 * np.min(pts[:,0:2])\n",
    "    pmax = 1.2 * np.max(pts[:,0:2])\n",
    "    plt.xlim(pmin, pmax)\n",
    "    plt.ylim(pmin, pmax)\n",
    "    plt.gca().set_aspect('equal', adjustable='box')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Xj0C9xyCqMbZ8JfFL2U9ivIJW06DMnbqVD3hKdePnNUNZ/+Na0tPT8Xg8+Pj4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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d1e4128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# S=sorted, C=colored, R=rotated, N=normalized, V=variance adjusted\n",
    "#sel_points = np.random.randint(low=0, high=points_list.shape[0], size=int(points_list.shape[0]/3))\n",
    "#points_list = points_list[sel_points]\n",
    "Spts = np.array(sorted(points_list, key=lambda x: x[1], reverse=False))\n",
    "SCpts = np.array([[Spts[i][0], Spts[i][1], i] for i in range(len(Spts))])\n",
    "theta = math.pi * 2 * -60/180.0\n",
    "# rotate the points a bit so the guitar is tilted\n",
    "SCRpts = rotate_points(SCpts, theta)\n",
    "plt.scatter(SCRpts[:,0], SCRpts[:,1], c=SCRpts[:,2], cmap='jet')\n",
    "setup_plot(SCRpts)\n",
    "plt.title(\"Input points\")\n",
    "file_helper.save_figure('eguitar-input')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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YOXA6w6hXryFDhgzB09OTsLAw7HZ/HI4Sya5QA2vlx/VY0zjtALbRqlUfxo0bx6uvvoq1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g2GrNH8F0lTnTgwHMeNxweTFSiQiBC/Aryegv5qRLeZO4H7pQCpVq2aNG7c2CGl1uZfSEiI9OvX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\nSdDB1sNYunSpZHByE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4B341x7AXeB1k97HimccyHABpSMk1cXsABBidRbC4x52uN/xDlv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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d1ff240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# N=normalized\n",
    "xmin = np.min(SCRpts[:,0])\n",
    "xmax = np.max(SCRpts[:,0])\n",
    "ymin = np.min(SCRpts[:,1])\n",
    "ymax = np.max(SCRpts[:,1])\n",
    "SCRNpts = SCRpts.copy()\n",
    "for i in range(SCRpts.shape[0]): \n",
    "    SCRNpts[i][0] = np.interp(SCRpts[i][0], [xmin, xmax], [-1,1])\n",
    "    SCRNpts[i][1] = np.interp(SCRpts[i][1], [ymin, ymax], [-1,1])\n",
    "plt.clf()\n",
    "plt.scatter(SCRNpts[:,0], SCRNpts[:,1], c=SCRNpts[:,2], cmap='jet')\n",
    "setup_plot(SCRNpts)\n",
    "plt.title(\"normalized\")\n",
    "file_helper.save_figure('eguitar-normalized')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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GhlK4cFE+++wzctNTkG5VtvSQlVLjgWZAPRE5e6P8/fr1w8/PL11au3btctWzrzRNy1qr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IsLnUwm1gI7gD7ADquVgUOGADB5wgSe94WBOcDHgMIuMCdMMFutTJs2LfVYgYGBbNqylW6v9GNl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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d2c6ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# V=variance (and mean) adjusted\n",
    "# We'll do this explicitly to show the steps\n",
    "# It would be shorter (and probably faster) to use Numpy\n",
    "\n",
    "# compute the means and center the data\n",
    "mean_scrn_x = (1/len(SCRNpts))*np.sum(SCRNpts[:,0])\n",
    "mean_scrn_y = (1/len(SCRNpts))*np.sum(SCRNpts[:,1])\n",
    "Mpts = []\n",
    "for i in range(len(SCRNpts)):\n",
    "    pt = SCRNpts[i]\n",
    "    vx = pt[0]-mean_scrn_x\n",
    "    vy = pt[1]-mean_scrn_y\n",
    "    Mpts.append([vx, vy, pt[2]])\n",
    "Mpts = np.array(Mpts)\n",
    "\n",
    "# compute the variances and scale each feature\n",
    "sigma_x = math.sqrt((1/len(Mpts))*np.sum(Mpts[:,0]**2))\n",
    "sigma_y = math.sqrt((1/len(Mpts))*np.sum(Mpts[:,1]**2))\n",
    "SCRNVpts = []\n",
    "for i in range(len(Mpts)):\n",
    "    pt = Mpts[i]\n",
    "    vx = pt[0]/sigma_x\n",
    "    vy = pt[1]/sigma_y\n",
    "    SCRNVpts.append([vx, vy, pt[2]])\n",
    "SCRNVpts = np.array(SCRNVpts)\n",
    "    \n",
    "plt.clf()\n",
    "plt.scatter(SCRNVpts[:,0], SCRNVpts[:,1], c=SCRNVpts[:,2], cmap='jet')\n",
    "setup_plot(SCRNVpts)\n",
    "plt.title(\"mean and variance adjusted\")\n",
    "file_helper.save_figure('eguitar-mean-variance')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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EQiEGB4cYGhpCpZrjm998i/b2fbS0tOyalvLD2NKSyrKskmVZfZ8fEYwFQdggHo8TDAZJ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\nLEmSdED8/4Lr9e5dmN9vAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d1ff320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# project the adjusted points to the y=0 line\n",
    "plt.clf()\n",
    "plt.scatter(SCRNVpts[:,0], SCRNVpts[:,1], c=SCRNVpts[:,2], cmap='jet', alpha=0.3)\n",
    "for i in range(SCRNVpts.shape[0]):\n",
    "    if np.random.uniform() < .25:\n",
    "        xyc = SCRNVpts[i]\n",
    "        plt.plot([xyc[0], xyc[0]], [xyc[1], 0], lw=1, color='black')\n",
    "plt.plot([np.min(SCRNVpts[:,0]), np.max(SCRNVpts[:,0])], [0,0], lw=2, color='black')\n",
    "setup_plot(SCRNVpts)\n",
    "plt.title(\"projecting points to y=0\")\n",
    "file_helper.save_figure('eguitar-project-y0')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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HOChMw7o4TIhBoRnx0kK6kjHamjuZ2QsdwLZiOHZijE2pGLta+zgKSBusiBvHHl1NX2cH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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d23e898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# show the projected points\n",
    "plt.clf()\n",
    "plt.scatter(SCRNVpts[:,0], SCRNVpts.shape[0]*[0], c=SCRNVpts[:,2], lw=.3, cmap='jet')\n",
    "setup_plot(SCRNVpts)\n",
    "plt.title(\"projected to y=0\")\n",
    "file_helper.save_figure('eguitar-projected-to-y0')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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++8nLywN0aWorVqzg8OHD9O7dm/Lycr7++utWk37Lli0jKCiITZs2AbpJv7fe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\nwBu4u7q6kEgkvPrqq1x//fUsXbqU6upqLr30Ut544w1eeOEFUlJS6Ov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Fo28/wdInbiIo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\nDMiSJEnDxP8DXnOFHF42cJcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11df92f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# projected onto the line we found by PCA\n",
    "plt.clf()\n",
    "ptheta = math.pi * 2 * 29/180.0\n",
    "dx = math.cos(ptheta)\n",
    "dy = math.sin(ptheta)\n",
    "plt.scatter(SCRNVpts[:,0], SCRNVpts[:,1], c=SCRNVpts[:,2], cmap='jet', alpha=0.3)\n",
    "SCRNVPpts = SCRNVpts.copy()\n",
    "plt.plot([-10*dx, 10*dx], [-10*dy, 10*dy], lw=2, color='black')\n",
    "for i in range(SCRNVpts.shape[0]):\n",
    "    xyc = SCRNVpts[i]\n",
    "    plen = math.sqrt((xyc[0]*xyc[0])+(xyc[1]*xyc[1]))\n",
    "    normp = [xyc[0]/plen, xyc[1]/plen]\n",
    "    dot = (dx * xyc[0])+(dy * xyc[1])\n",
    "    SCRNVPpts[i][0] = dx*dot\n",
    "    SCRNVPpts[i][1] = dy*dot\n",
    "for i in range(SCRNVpts.shape[0]):\n",
    "    if np.random.uniform() < .25:\n",
    "        plt.plot([SCRNVpts[i][0], SCRNVPpts[i][0]], \n",
    "                 [SCRNVpts[i][1], SCRNVPpts[i][1]], lw=1.5, color='black')\n",
    "setup_plot(SCRNVPpts)\n",
    "plt.title(\"projecting points\")\n",
    "file_helper.save_figure('eguitar-projected-tilted')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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BfqjVNnR02FFXV0BvbydlZUeJinInISFhxPo8FsiCLElj0Ghljs+ytbVl5oxx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\noYGslFI2oYGslFI2oYGslFI28X8B5o8I715e5wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11df50e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# show the line we found by PCA\n",
    "plt.clf()\n",
    "ptheta = math.pi * 2 * 29/180.0\n",
    "dx = math.cos(ptheta)\n",
    "dy = math.sin(ptheta)\n",
    "plt.scatter(SCRNVpts[:,0], SCRNVpts[:,1], c=SCRNVpts[:,2], cmap='jet', alpha=0.5)\n",
    "plt.plot([-10*dx, 10*dx], [-10*dy, 10*dy], lw=2, color='black')\n",
    "setup_plot(SCRNVPpts)\n",
    "plt.title(\"line of max variance\")\n",
    "file_helper.save_figure('eguitar-max-variance')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4FGeKYkOJvl3A5/GRDP7Pje6EE5FyNIdcjY19+GF6+/5/IPA58C3g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\nQUIFWUQkSKggi4gEif8HdfCHS5/pr+IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d268f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# show the projected points\n",
    "plt.clf()\n",
    "plt.scatter(SCRNVPpts[:,0], SCRNVPpts[:,1], c=SCRNVPpts[:,2], lw=.3, cmap='jet')\n",
    "setup_plot(SCRNVPpts)\n",
    "plt.title(\"projected points\")\n",
    "file_helper.save_figure('eguitar-rot-line')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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z4ScvQXvKcP/lRthbAE+81leWTMJNj8D73h7cb++Enz4Eb39bcL+5BR562uiK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\nWUTEE/8fquMPNfrcYiAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f191668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.clf()\n",
    "line_pts = rotate_points(SCRNVPpts, ptheta)\n",
    "plt.scatter(line_pts[:,0], line_pts[:,1], c=line_pts[:,2], lw=.3, cmap='jet')\n",
    "setup_plot(line_pts)\n",
    "plt.title(\"rotated projected points\")\n",
    "file_helper.save_figure('eguitar-unrot-line')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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zDAmy3W6X+nXripthSAOQriAllBJAFi5cKCIiy5YtE0AGg/wB8ifICMcHJ3Pm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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f3ca898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "Wpts = SCRNpts.copy()\n",
    "pca = PCA(n_components=2, whiten=True)\n",
    "pca.fit(Wpts)\n",
    "PCAW = pca.transform(Wpts)\n",
    "plt.clf()\n",
    "plt.scatter(PCAW[:,0], PCAW[:,1], c=SCRNpts[:,2], cmap='jet')\n",
    "setup_plot(PCAW)\n",
    "plt.title(\"whitenened\")\n",
    "file_helper.save_figure('eguitar-whitened')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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5V1eXp1Kpurx/tfX19UV/Z2jzMj/jkzBd8lpCZ+K2Ek3luPvDwBPA4emTZrYb8C5CPoeI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\n/OoS7nckcLeZXWd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ceeWV7LPPPkXlTOTbi+SOO+4Y9nwxOR8iIiNBKdMlpwOfBG4BOt39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\n+D9r1hL7oP5NNAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11ee97390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(42)\n",
    "num_points = 100\n",
    "temp_lo = -30\n",
    "temp_hi = 40\n",
    "cars_lo = 20\n",
    "cars_hi = 80\n",
    "temps = np.random.uniform(low=temp_lo, high=temp_hi, size=num_points)\n",
    "cars = np.zeros(num_points)\n",
    "for i in range(num_points):\n",
    "    sint = math.sin(np.interp(temps[i], [temp_lo, temp_hi], [0, math.pi/2]))\n",
    "    cars[i] = np.interp(sint, [0,1], [cars_lo, cars_hi]) + np.random.uniform(-5, 5)\n",
    "plt.scatter(temps, cars)\n",
    "plt.xlabel('Midnight temperature in degrees Celsius')\n",
    "plt.ylabel('Cars on the road')\n",
    "plt.title(\"Starting Data\")\n",
    "file_helper.save_figure('raw-traffic-data')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1isGJ1E6cac3TzezNWba/2cymladZItKIss0Igt8T8km+BYSy+ZVcgbjQNOpy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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d268b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ntemps = np.interp(temps, [np.min(temps), np.max(temps)], [0,1])\n",
    "ncars = np.interp(cars, [np.min(cars), np.max(cars)], [0,1])\n",
    "plt.scatter(ntemps, ncars)\n",
    "plt.xlabel('Normalized temperature')\n",
    "plt.ylabel('Normalized cars')\n",
    "plt.title(\"Normalized Data\")\n",
    "file_helper.save_figure('scaled-traffic-data')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
